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Finding the Fourth Proportional to 10,694.80, 16,032.60 and 9,528.40

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Solution

The fourth proportional to 10,694.80, 16,032.60 and 9,528.40 is: 14,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.80 : 16,032.60 = 9,528.40 : x
  2. Step 2: Convert to fraction form
    10,694.80/16,032.60 = 9,528.40/x
  3. Step 3: Cross multiply
    10,694.80x = 16,032.60 × 9,528.40
  4. Step 4: Simplify right side
    10,694.80x = 152,765,025.84
  5. Step 5: Solve for x
    x = 152,765,025.84/10,694.80
  6. Step 6: Final answer
    x = 14,284.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.